A river cruise boat sailed 80 miles down the Mississippi River for 4 hours. It took 5 hours to return. Find the rate of the cruise boat in still water and the rate of the current.

Answer:Rate of Cruise Boat is 18 miles per hour and Rate of Current is 2 miles per hourStep-by-step explanation:Speed of boat is "x"speed of current is "c"We also know D = RT Where D is distance, R is rate, T is timeFor Downstream:D = RT80 = (x + c)(4)For Upstream:80 = (x - c)(5)The first equation becomes: 20 = x + cThe second equation becomes: 16 = x -cWe add both the equation:20 = x + c16 = x - c36 = 2xx = 18And, 20 = x + c, 20 = 18 + c, c = 2Rate of Cruise Boat is 18 miles per hour and Rate of Current is 2 miles per hour